Price Impact Calculator for Small Token Pools

Updated | 3 min read | QUANTUM (QNT) community

How it works

The calculator uses the simplest model, a constant product pool, where the two sides of the pool multiply to a constant. A pool with total liquidity L has about L/2 on each side. A buy of size S adds S to the quote side, so the price ends up at (1 + S / (L/2)) squared times the old price. See liquidity depth and price impact and what a liquidity pool is.

What it does not include

Learn how to protect yourself in slippage and priority fees. Educational only, not financial advice.

The formulas, checked

Let Q be the quote side of the pool, which is L/2. For a trade of size S, define s = S / Q. These identities follow from the rule that the two reserves multiply to a constant (the x times y equals k rule in Uniswap's documentation):

QuantityBuy of size SSell of tokens worth S at the starting price
Price after the tradeStart price times (1 + s) squaredStart price divided by (1 + s) squared
Average price you getStart price times (1 + s)Start price divided by (1 + s)
Cash received on a sellnot applicableS divided by (1 + s)

Worked examples for a $35,000 pool

With L = 35,000, Q = 17,500.

TradesPrice afterAverage price vs start
Buy $1000.57%up about 1.15%about 0.57% worse
Buy $1,750 (10% of Q)10%up 21%10% worse
Buy $8,750 (50% of Q)50%up 125%50% worse
Sell $100 worth0.57%down about 1.13%proceeds about $99.43
Sell $1,750 worth10%down about 17.4%proceeds about $1,590.91

Two things to notice. First, impact is roughly twice the trade-to-pool ratio for small trades, because squaring (1 + s) gives about 1 + 2s. Second, buying and selling are not symmetric in percentage terms: a +21 percent move needs only a 17.4 percent fall to reverse it, which is the same asymmetry explained in the gain and loss calculator. If a fee is charged on the input, subtract it from S first. For example, a 0.25 percent fee on a $100 buy means about $99.75 reaches the pool.

Limits of the model

Common misreadings

This tool is education, not financial advice, and does not predict any price. The QNT memecoin is independent of Quantinuum Ltd.

Sources and further reading

Facts checked 2026-10-09 against the linked pages. Education only, not financial advice. Nothing here predicts the price of any asset, and the QNT memecoin is an independent community token with no link to Quantinuum Ltd or any lab, chain or exchange named on this page.

Frequently asked questions

What is price impact?

The change in a token's price caused by your own trade, which grows with trade size relative to pool liquidity.

Is this exact for QNT?

No. It is a simplified model for learning. Real pools and fees can differ.

Why is the average price worse than the spot price?

Because each part of a trade moves the price a little, so later parts of the trade fill at worse prices.

How much does a $100 buy move a $35,000 pool?

Under the constant product model, about 1.15 percent on the price, with an average fill about 0.57 percent worse than the starting price.

Why is a sell worse than a buy of the same size?

A sell removes quote asset from the pool, and your proceeds are the trade value divided by (1 + s), so you get less than the starting price implies.

Does a larger pool reduce price impact?

Yes. Impact depends on trade size relative to the pool, so a pool ten times deeper cuts the impact of the same trade to about a tenth for small trades.

Is the fee box a good model of real fees?

It is a simplification. Real pools differ in how fees are charged and who earns them.

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QUANTUM (QNT) is the quantum sector memecoin on Solana. See the live chart, buys and burnt supply or read the token facts. Questions? Join the Telegram.